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Finding the Fourth Proportional to 21,649.11, 32,473.86 and 6,858.10

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Solution

The fourth proportional to 21,649.11, 32,473.86 and 6,858.10 is: 10,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.11 : 32,473.86 = 6,858.10 : x
  2. Step 2: Convert to fraction form
    21,649.11/32,473.86 = 6,858.10/x
  3. Step 3: Cross multiply
    21,649.11x = 32,473.86 × 6,858.10
  4. Step 4: Simplify right side
    21,649.11x = 222,708,979.27
  5. Step 5: Solve for x
    x = 222,708,979.27/21,649.11
  6. Step 6: Final answer
    x = 10,287.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.